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Finding the Fourth Proportional to 4,444.92, 6,668.34 and 4,419

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Solution

The fourth proportional to 4,444.92, 6,668.34 and 4,419 is: 6,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444.92 : 6,668.34 = 4,419 : x
  2. Step 2: Convert to fraction form
    4,444.92/6,668.34 = 4,419/x
  3. Step 3: Cross multiply
    4,444.92x = 6,668.34 × 4,419
  4. Step 4: Simplify right side
    4,444.92x = 29,467,394.46
  5. Step 5: Solve for x
    x = 29,467,394.46/4,444.92
  6. Step 6: Final answer
    x = 6,629.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.